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Finding the Third Proportional to 218,598 and 320,505

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Solution

The third proportional to 218,598 and 320,505 is: 469,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,598 : 320,505 = 320,505 : x
  2. Step 2: Convert to fraction form
    218,598/320,505 = 320,505/x
  3. Step 3: Cross multiply
    218,598x = 320,505 × 320,505
  4. Step 4: Simplify right side
    218,598x = 102,723,455,025
  5. Step 5: Solve for x
    x = 102,723,455,025/218,598
  6. Step 6: Final answer
    x = 469,919.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.